3 degrees to radians
0.0524 rad
3° = 0.0524 rad.
radians
0.0524rad
3° = 0.0524 rad
In short
How many radians is 3 degrees?
3° = 0.0524 rad. 1 degree = 0.017453 radians, so the working is 3 × 0.017453 = 0.0524.
The working
The factor below is an exact definition rather than a measurement, so nothing is approximated in the arithmetic. The only rounding on this page happens where a number is displayed.
1 degree = 0.017453 radians 3 × 0.017453 = 0.0524
How much precision do you need?
Each row is the same answer cut at a different number of decimals, with what that choice costs you. Pick the shortest row whose error is smaller than whatever you are measuring with.
| Rounded to | Answer (rad) | Off by |
|---|---|---|
| Whole number | 0 | −0.05236 |
| 1 decimal | 0.1 | +0.04764 |
| 2 decimals | 0.05 | −0.00236 |
Round trip: take 0.0524 rad back the other way and you land on 3.0023° — a drift of 0.0023°. That gap is the rounding, not the conversion.
Frequently asked questions
What is 3 degrees in radians?
3 degrees is 0.0524 radians. 1 degree = 0.017453 radians, so the working is 3 × 0.017453 = 0.0524.
How accurate is 0.0524 rad?
Rounding to 0.0524 rad and converting straight back gives 3.0023°, a drift of 0.0023° from the 3 you started with. The factor itself is exact; every bit of that difference comes from the rounding, not the conversion.
Nearby values
Any value at all
Degrees to Radians Converter
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